Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations

被引：31
|
作者：
Zhang, Xinqiu [1 ]
Liu, Lishan [1 ,2 ]
Zou, Yumei [3 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia
[3] Shandong Univ Sci & Technol, Dept Stat & Finance, Qingdao 266590, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
MULTIPLE POSITIVE SOLUTIONS; MIXED MONOTONE-OPERATORS; EXISTENCE; UNIQUENESS;
D O I：
10.1155/2018/7469868
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the error estimation of the system. Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application. The results obtained in this paper are more general than many previous results and complement them.
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页数：9
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